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A chain hanging from points forms a catenary. The silk on a spider's web forming multiple elastic catenaries.. In physics and geometry, a catenary (US: / ˈ k æ t ən ɛr i / KAT-ən-err-ee, UK: / k ə ˈ t iː n ər i / kə-TEE-nər-ee) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field.
A mudbrick catenary arch A catenary curve (left) and a catenary arch, also a catenary curve (right). One points up, and one points down, but the curves are the same. A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient times.
Analogies between the hanging chains and standing structures: an arch and the dome of Saint Peter's Basilica in Rome (Giovanni Poleni, 1748). In architecture, the funicular curve (also funicular polygon, funicular shape, from the Latin: fūniculus, "of rope" [1]) is an approach used to design the compression-only structural forms (like masonry arches) using an equivalence between the rope with ...
The practical designs for bridges are somewhere in between, and thus use the curves that represent a compromise that combines both the catenary and the funicular curve for particular non-uniform distribution of load. [83] The practical free-standing arches are stronger and thus heavier at the bottom, so a weighted catenary curve is utilized for ...
Catenary: An arched roof in the form of a catenary curve. Arched roof, bow roof, [11] Gothic, Gothic arch, and ship's bottom roof. Historically also called a compass roof. [12] [13] Circular Bell roof (bell-shaped, ogee, Philibert de l'Orme roof): A bell-shaped roof. Compare with bell-cast eaves. Domed
The Gateway Arch is a weighted catenary: thick at the bottom, thin at the top.. A weighted catenary (also flattened catenary, was defined by William Rankine as transformed catenary [1] and thus sometimes called Rankine curve [2]) is a catenary curve, but of a special form: if a catenary is the curve formed by a chain under its own weight, a weighted catenary is the curve formed if the chain's ...
The line of thrust is the locus of the points, through which forces pass in a retaining wall or an arch.It is the line, along which internal forces flow, , .. In a stone structure, the line of thrust is a theoretical line that through the structure represents the path of the resultants of the compressive forces, .
In the diagram, such a circle is tangent to the hyperbola xy = 1 at (1,1). The yellow sector depicts an area and angle magnitude. ... (x/a) is the catenary, the curve ...